106354613331 has 32 divisors (see below), whose sum is σ = 158030046720. Its totient is φ = 70692966432.

The previous prime is 106354613297. The next prime is 106354613353. The reversal of 106354613331 is 133316453601.

106354613331 is a `hidden beast` number, since 1 + 0 + 6 + 3 + 5 + 4 + 613 + 3 + 31 = 666.

It is not a de Polignac number, because 106354613331 - 2¹¹ = 106354611283 is a prime.

It is a super-2 number, since 2×106354613331² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106354613381) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13402641 + ... + 13410573.

It is an arithmetic number, because the mean of its divisors is an integer number (4938438960).

Almost surely, 2^106354613331 is an apocalyptic number.

106354613331 is a deficient number, since it is larger than the sum of its proper divisors (51675433389).

106354613331 is an equidigital number, since it uses as much as digits as its factorization.

106354613331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9352 (or 9346 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The spelling of 106354613331 in words is "one hundred six billion, three hundred fifty-four million, six hundred thirteen thousand, three hundred thirty-one".